Wilmot has also occasionally been a female as well as a male name.
Withycombe's _The Oxford Dictionary of English Christian Names_ says "Wilmot was often a girl's name, and occurs as late as 1702 in the parish registers of Kemble."
I personally knew a woman named Wilmot in North Carolina in the 20th century, and I found an example of a woman named Wilmot in Canada in the 19th century on a genealogy site.
John Wilmot, 2nd Earl of Rochester (1647–1680) was an English Libertine, a friend of King Charles II, and the writer of much satirical and bawdy poetry.
Wilmot was indeed often given as a female name. There are many instances of female Wilmots, Willmottes, and Willmotts in birth records dating from the 1550's in Cornwall. In fact, the name seems to have been exclusively female.